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Assertion (A): The lift curve slope of a supersonic aerofoil falls as the Mach number rises.

Reason (R): The linearised supersonic result divides by the square root of the Mach number squared minus one.

Select the correct answer from the options below.

  • A.Both A and R are true, but R is not the correct explanation of A
  • B.A is true but R is false
  • C.A is false but R is true
  • D.Both A and R are true, and R is the correct explanation of A

Answer: D

Both statements are true and the second is the reason for the first. That radical grows with Mach number, so the slope shrinks. It is worth contrasting with the subsonic case, where the corresponding factor sits in the denominator the other way round and the slope rises instead.

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